Is it possible to limit the number of loopOut cycles?

Hello, I am James from Chicago. I am facing some problems.
I've got a composition with a couple of precomp layers. I enabled Time Remapping on each and ran the following script:
loopOut(loop="cycle",numKeyframes=0)
It works perfectly. However, I'd like to be able to limit the number of times the animation loops. Is that even possible?
Thank you very much!